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Finding the Third Proportional to 6,300,445 and 13,741,229

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Solution

The third proportional to 6,300,445 and 13,741,229 is: 29,969,529.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300,445 : 13,741,229 = 13,741,229 : x
  2. Step 2: Convert to fraction form
    6,300,445/13,741,229 = 13,741,229/x
  3. Step 3: Cross multiply
    6,300,445x = 13,741,229 × 13,741,229
  4. Step 4: Simplify right side
    6,300,445x = 188,821,374,430,441
  5. Step 5: Solve for x
    x = 188,821,374,430,441/6,300,445
  6. Step 6: Final answer
    x = 29,969,529.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.